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Finding the Fourth Proportional to 6,494.78, 8,962.62 and 3,662.13

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Solution

The fourth proportional to 6,494.78, 8,962.62 and 3,662.13 is: 5,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.78 : 8,962.62 = 3,662.13 : x
  2. Step 2: Convert to fraction form
    6,494.78/8,962.62 = 3,662.13/x
  3. Step 3: Cross multiply
    6,494.78x = 8,962.62 × 3,662.13
  4. Step 4: Simplify right side
    6,494.78x = 32,822,261.27
  5. Step 5: Solve for x
    x = 32,822,261.27/6,494.78
  6. Step 6: Final answer
    x = 5,053.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.